Abstract
Two-dimensional and quasi-three-dimensional numerical methods have been employed to simulate the vortex-induced vibrations of a circular cylinder. A low Reynolds number two-dimensional study at low mass ratio and zero damping revealed lock-in across a large range of reduced velocities. For the low mass ratio cylinder simulated, the oscillatory frequency was found to be controlled by the fluid via its added mass. Oscillations far from the body's natural frequency were observed. The shear stress contributions to the transverse force acting on the body were very significant and play an important role in the dynamics of low Reynolds number vortex-induced vibrations. The quasi-three-dimensional method was employed to simulate the flow past a long stationary cylinder in shear flow. Cellular shedding was observed in its wake. The free transverse flexible vibrations of the same body exhibited significant spanwise correlation over a large length of the body despite the sheared inflow.
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